log(8)(3x+1)+log(8)(x+2)=1

Solution for log(8)(3x+1)+log(8)(x+2)=1 equation:

Simplifying
log(8)(3x + 1) + log(8)(x + 2) = 1

Reorder the terms:
glo * 8(1 + 3x) + log(8)(x + 2) = 1

Reorder the terms for easier multiplication:
8glo(1 + 3x) + log(8)(x + 2) = 1
(1 * 8glo + 3x * 8glo) + log(8)(x + 2) = 1
(8glo + 24glox) + log(8)(x + 2) = 1

Reorder the terms:
8glo + 24glox + glo * 8(2 + x) = 1

Reorder the terms for easier multiplication:
8glo + 24glox + 8glo(2 + x) = 1
8glo + 24glox + (2 * 8glo + x * 8glo) = 1
8glo + 24glox + (16glo + 8glox) = 1

Reorder the terms:
8glo + 16glo + 24glox + 8glox = 1

Combine like terms: 8glo + 16glo = 24glo
24glo + 24glox + 8glox = 1

Combine like terms: 24glox + 8glox = 32glox
24glo + 32glox = 1

Solving
24glo + 32glox = 1

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Reorder the terms:
-1 + 24glo + 32glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 24glo + 32glox = 0

The solution to this equation could not be determined.